Equations And Inequations Ques 160

I. $x^{2}=81$

II. $y^{2}-18 y+81=0$

Directions : In the following questions, two equations I and II have been given. You have to solve both equations and give answer if

(1) $x>y$

(2) $x \geq y$

(3) $x<y$

(4) $x \leq y$

(5) $x=y$ or the relation cannot be established.

(Bank of Baroda PO Exam. 14.08.2014)

Show Answer

Correct Answer: (4)

Solution: (4) I. $x^{2}=81$

$\Rightarrow x=\sqrt{81}= \pm 9$

II. $y^{2}-18 y+81=0$

$\Rightarrow(y-9)^{2}=0 \Rightarrow y-9=0$

$\Rightarrow y=9$

Clearly, $x \leq y$